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We prove that every continuous conjugate linear mapping from a unital C $$^*$$ -algebra A into its dual space, $$A^*$$ , which is ternary derivable at the unit element of… Click to show full abstract
We prove that every continuous conjugate linear mapping from a unital C $$^*$$ -algebra A into its dual space, $$A^*$$ , which is ternary derivable at the unit element of A is a ternary derivation. This is somehow a ternary-counterpart result for (binary) derivations on associative algebras which proves that any linear continuous map from a unital C $$^*$$ -algebra A into a Banach A-bimodule which is derivable at the unit element of A, is a derivation.
Keywords:
conjugate linear;
linear maps;
derivable unit;
ternary derivable;
unit element
Journal Title: Results in Mathematics
Year Published: 2020
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Journal Title: Results in Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!